Income Taxes (Details of Income Tax Provision) (Details) - USD ($) $ in Thousands	12 Months Ended
	Dec. 31, 2015	Dec. 31, 2014	Dec. 31, 2013
Current
Ireland	$ 22,599	$ 23,506	$ 17,089
United States	116,301	97,679	71,964
Other	28,708	16,469	12,682
Total current income tax	167,608	137,654	101,735
Deferred
Ireland	494	2,323	8,353
United States	332	(15,003)	(3,513)
Other	(40,532)	(30,743)	(14,937)
Total deferred, exclusive of other components	(39,706)	(43,423)	(10,097)
Deferred, change in tax rates
United States	294	0	0
Other	(21,797)	0	0
Total deferred, change in tax rates	(21,503)	0	0
Total deferred income tax benefit	(61,209)	(43,423)	(10,097)
Total income tax provision	$ 106,399	$ 94,231	$ 91,638